352/351: Difference between revisions

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| Monzo = 5 -3 0 0 1 -1

| Cents = 4.92528

| Name = minthma, 13~~/11~~-kleisma

| Name = minthma, 11/13-kleisma

| Color name =

| FJS name = P11113

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}}

The '''minthma''' or '''13~~/11~~-kleisma''', '''352/351''', is a [[13-limit]] (also 2.3.11.13 subgroup) [[comma]] measuring about 4.9 cents. This comma can be described in a number of ways. First, it is the difference between the tridecimal minor third of [[13/11]] and the Pythagorean minor third of [[32/27]], hence, between the tridecimal quartertone of [[1053/1024]] and the undecimal quartertone of [[33/32]]. Second, it is the difference between various tridecimal intervals and their adjacent undecimal intervals such as between [[16/13]] and [[27/22]], and between [[39/32]] and [[11/9]].

The '''minthma''' or '''11/13-kleisma''', '''352/351''', is a [[13-limit]] (also 2.3.11.13 subgroup) [[small comma]] measuring about 4.9 cents. This comma can be described in a number of ways. First, it is the difference between the tridecimal minor third of [[13/11]] and the Pythagorean minor third of [[32/27]], hence, between the tridecimal quartertone of [[1053/1024]] and the undecimal quartertone of [[33/32]]. Second, it is the difference between various tridecimal intervals and their adjacent undecimal intervals such as between [[16/13]] and [[27/22]], and between [[39/32]] and [[11/9]].

352/351 and [[351/350]], the ratwolfsma, are extremely close in size and make up a consecutive pair of 13-limit superparticular commas. Their difference is [[123201/123200]], the chalmersma, the smallest 13-limit superparticular comma; their sum is [[176/175]], the valinorsma, an 11-limit superparticular comma.

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== See also ==

* [[Minthmic chords]]

* [[~~Comma~~]]

* [[Small comma]]

* [[List of superparticular intervals]]

@@ Line 4: / Line 4: @@
 | Monzo = 5 -3 0 0 1 -1
 | Cents = 4.92528
-| Name = minthma, <br>13/11-kleisma
+| Name = minthma, <br>11/13-kleisma
 | Color name =
 | FJS name = P1<sup>11</sup><sub>13</sub>
@@ Line 10: / Line 10: @@
 }}
-The '''minthma''' or '''13/11-kleisma''', '''352/351''', is a [[13-limit]] (also 2.3.11.13 subgroup) [[comma]] measuring about 4.9 cents. This comma can be described in a number of ways. First, it is the difference between the tridecimal minor third of [[13/11]] and the Pythagorean minor third of [[32/27]], hence, between the tridecimal quartertone of [[1053/1024]] and the undecimal quartertone of [[33/32]]. Second, it is the difference between various tridecimal intervals and their adjacent undecimal intervals such as between [[16/13]] and [[27/22]], and between [[39/32]] and [[11/9]].
+The '''minthma''' or '''11/13-kleisma''', '''352/351''', is a [[13-limit]] (also 2.3.11.13 subgroup) [[small comma]] measuring about 4.9 cents. This comma can be described in a number of ways. First, it is the difference between the tridecimal minor third of [[13/11]] and the Pythagorean minor third of [[32/27]], hence, between the tridecimal quartertone of [[1053/1024]] and the undecimal quartertone of [[33/32]]. Second, it is the difference between various tridecimal intervals and their adjacent undecimal intervals such as between [[16/13]] and [[27/22]], and between [[39/32]] and [[11/9]].
 /351 and [[351/350]], the ratwolfsma, are extremely close in size and make up a consecutive pair of 13-limit superparticular commas. Their difference is [[123201/123200]], the chalmersma, the smallest 13-limit superparticular comma; their sum is [[176/175]], the valinorsma, an 11-limit superparticular comma.
@@ Line 16: / Line 16: @@
 == See also ==
 * [[Minthmic chords]]
-* [[Comma]]
+* [[Small comma]]
 * [[List of superparticular intervals]]